GLOBAL STABILITY OF A DELAYED RATIO-DEPENDENT PREDATOR-PREY MODEL WITH GOMPERTZ GROWTH FOR PREY

被引：0

作者：

Zhang, Shihua ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Hebei Province, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2015年 / 5卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Predator-prey model; ratio-dependence; Gompertz growth; stability; bifurcation; DYNAMICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A delayed ratio-dependent predator-prey model with Gompertz growth for prey is investigated. The local stability of a predator-extinction equilibrium and a coexistence equilibrium is discussed. Furthermore, the existence of Hopf bifurcation at the coexistence equilibrium is established. By constructing a Lyapunov functional, sufficient conditions are obtained for the global stability of the coexistence equilibrium.

引用

页码：28 / 37

页数：10

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